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Sym\'etrie des grandes solutions d'\'equations elliptiques semi lin\'eaire

Authors :
Porretta, Alessio
Veron, Laurent
Source :
C. R. Acad. Sci. Paris Ser. Paris I 342 (2006) 483-487
Publication Year :
2008

Abstract

We prove that, if $g$ is a continuous asymptotically convex function, any solution $u$ of $-\Delta u+g(u)=0$ in a ball B which tends to infinity on $\partial B$ is radially symmetric.

Details

Database :
arXiv
Journal :
C. R. Acad. Sci. Paris Ser. Paris I 342 (2006) 483-487
Publication Type :
Report
Accession number :
edsarx.0805.3657
Document Type :
Working Paper